Centripetal Force

A roller coaster at an amusement park has a dip that bottoms out in a vertical circle of radius r. A passenger feels the seat of the car pushing upward on her with a force equal to 2.3 times her weight as she goes through the dip. If r = 29.0 m, how fast is the roller coaster traveling at the bottom of the dip?

Solution Preview

Let m be the mass of the passenger (we do not need its value but it will help us in the process of derivation), then the condition stated is that the normal force acting on the passenger at the bottom of the loop is N = 2.3 ...